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The application of the framework is demonstrated for test cases from organic and inorganic chemistry, including transition metal complexes.
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Such improvements are demonstrated for several test cases.
The efficiency of the method is demonstrated for silicon test systems.
The feasibility and effectiveness of the proposed CDE methods are demonstrated for two test systems.
The general applicability of the method is demonstrated for the test system cyclohexane n-hexane toluene.
Complete crack arrest is demonstrated for fatigue test conditions that render neat resin and control samples failed.
A comparison with Newton's method is given where the failure of Newton's method is demonstrated for a test problem.
Based on a comparison of the Intel Core 2 Duo and NVIDIA 8800GTX, speed-ups of over 40× were demonstrated for simple test geometries and 20× for complex geometries.
The accuracy of the error estimation and the performance of the goal-oriented mesh refinement algorithm is demonstrated for various test cases, including a two-dimensional turbulent flow around a three-element high lift configuration and a three-dimensional turbulent flow around a wing-body configuration.
Accuracy, second-order grid convergence and robustness of the method is demonstrated for several test cases: inclined channel flow at Re = 20, flow over a square cylinder at Re = 100, flow over a circular cylinder at Re = 40, Re = 100 and Re = 3900, as well as turbulent channel flow with periodic constrictions at Re = 10,595.
This adaptation ability is demonstrated for the test image Barbara corrupted by noise with (Figure 3(a)).
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